Modelling of equal channel angular pressing using a mesh-free method

Fagan, T.; Das, Raj; Lemiale, Vincent; Estrin, Yuri

doi:10.1007/s10853-012-6296-3

Cited by 8 publications

(4 citation statements)

References 30 publications

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“…Such models do not suffer from the problem of large mesh deformation and the necessity of re-meshing common to FE models in a Lagrangian framework, or the difficulty of tracing the material's history in the Eulerian formulation. Studies of ECAP processing by both SPH [270] and MPM [271] showed the efficacy of these methods and the consistency of the results obtained by the meshless techniques and the FE analysis.…”

Section: Strain Localisation During Ecapmentioning

confidence: 99%

Analytical and numerical approaches to modelling severe plastic deformation

Vinogradov

Estrin

2018

Progress in Materials Science

151

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Section: Strain Localisation During Ecapmentioning

confidence: 99%

Analytical and numerical approaches to modelling severe plastic deformation

Vinogradov

Estrin

2018

Progress in Materials Science

151

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“…Conventional FEA is difficult to use for high‐impact‐fracture simulations due to a number of factors including capturing the natural crack initiation and propagation, separation of failed elements, maintaining the integrity of elements in highly nonlinear deformations, and capturing highly fragmented filamentary crack paths . Consequently, SPH was adopted as a suitable method due to its mesh‐free nature.…”

Section: Materials and Methodologymentioning

confidence: 99%

“…More recently, there has been a growing interest in modeling solid deformation problems with SPH , even including applications in bone mechanics . Full details of the SPH method can be found in . SPH is ideally suited to modeling the backspatter from a projectile impact due to its proven ability in modeling fractured discrete structures and damage evolution.…”

Section: Materials and Methodologymentioning

confidence: 99%

Evaluating Simulant Materials for Understanding Cranial Backspatter from a Ballistic Projectile

Das

Collins

Verma

et al. 2015

Journal of Forensic Sciences

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In cranial wounds resulting from a gunshot, the study of backspatter patterns can provide information about the actual incidents by linking material to surrounding objects. This study investigates the physics of backspatter from a high-speed projectile impact and evaluates a range of simulant materials using impact tests. Next, we evaluate a mesh-free method called smoothed particle hydrodynamics (SPH) to model the splashing mechanism during backspatter. The study has shown that a projectile impact causes fragmentation at the impact site, while transferring momentum to fragmented particles. The particles travel along the path of least resistance, leading to partial material movement in the reverse direction of the projectile motion causing backspatter. Medium-density fiberboard is a better simulant for a human skull than polycarbonate, and lorica leather is a better simulant for a human skin than natural rubber. SPH is an effective numerical method for modeling the high-speed impact fracture and fragmentations.

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“…This avoids difficulties associated with traditional mesh-based methods (FEM, FVM and BEM), such as maintenance of the integrity and quality of the mesh under large deformation. The grid-free nature of SPH makes it well suited to modelling processes which involve large deformations and discontinuities, such as fracture [20], fragmentation [21], metal forming [16,19,22], and nano-machining [23]. SPH therefore offers several potentially important advantages for simulating geomechanics and solid deformation processes.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of Accuracy and Stability of the Classical SPH Method Under Uniaxial Compression

Das

Cleary

2014

J Sci Comput

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The accuracy and stability of the classical formulation of the smoothed particle hydrodynamics (SPH) method for modelling compression of elastic solids is studied to assess its suitability for predicting solid deformation. SPH has natural advantages for simulating problems involving compression of deformable solids arising from its ability to handle large deformation without re-meshing, complex free surface behaviour and tracking of multiple material interfaces. The 'classical SPH method', as originally proposed by Monaghan (in Ann Rev Astron 30: 543-574, 1992, Rep Prog Phys 68:1703-1759, 2005, has become broadly established as a robust method in different areas, especially involving fluid flows. However, limited attention has been paid to understanding of its numerical performance for elastic deformation problems. To address this, we evaluate the classical SPH method to explore its stability, accuracy and convergence and the effect of numerical parameters on elastic solutions using a generic uniaxial stress test. Short term transient and long term uniform state SPH solutions agree well with those from the finite element method (FEM). The SPH elastic deformation solution showed good convergence with increasing particle resolution. The tensile instability stabilisation method was found to have little impact on the solution, except for higher values of the correction factor which then produce small amplitude benign artificial banded stress patterns. The use of artificial viscosity is able to eliminate the instability and improve the accuracy of the solutions. Overall, the classical SPH method appears to be robust and suitable for accurate modelling of elastic solids under compression.

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Modelling of equal channel angular pressing using a mesh-free method

Cited by 8 publications

References 30 publications

Analytical and numerical approaches to modelling severe plastic deformation

Analytical and numerical approaches to modelling severe plastic deformation

Evaluating Simulant Materials for Understanding Cranial Backspatter from a Ballistic Projectile

Evaluation of Accuracy and Stability of the Classical SPH Method Under Uniaxial Compression

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